Search a number
-
+
109505751732 = 223213217998973
BaseRepresentation
bin110010111111100001…
…1010010101010110100
3101110122122101120012200
41211333003102222310
53243231433023412
6122150052144500
710624440350256
oct1457703225264
9343578346180
10109505751732
1142494162073
1219281308130
13a431ca9b00
14542b6c7cd6
152cada189dc
hex197f0d2ab4

109505751732 has 54 divisors (see below), whose sum is σ = 299736914022. Its totient is φ = 33694075584.

The previous prime is 109505751709. The next prime is 109505751791. The reversal of 109505751732 is 237157505901.

109505751732 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 0 + 575 + 1 + 73 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6691894416 + 102813857316 = 81804^2 + 320646^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8993403 + ... + 9005570.

It is an arithmetic number, because the mean of its divisors is an integer number (5550683593).

Almost surely, 2109505751732 is an apocalyptic number.

109505751732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109505751732 is an abundant number, since it is smaller than the sum of its proper divisors (190231162290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109505751732 is a wasteful number, since it uses less digits than its factorization.

109505751732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17999009 (or 17998991 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The spelling of 109505751732 in words is "one hundred nine billion, five hundred five million, seven hundred fifty-one thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 17998973 35997946 53996919 71995892 107993838 161990757 215987676 233986649 323981514 467973298 647963028 701959947 935946596 1403919894 2105879841 2807839788 3041826437 4211759682 6083652874 8423519364 9125479311 12167305748 18250958622 27376437933 36501917244 54752875866 109505751732